Area and Perimeter Worksheet
The method (Round and inside): Rectangle: area = l × b, perimeter = 2 × (l + b). Square: area = side × side, perimeter = 4 × side. Triangle: area = ½ × base × height. Circle (π = 22/7): area = π × r × r, circumference = 2 × π × r. Path outside a garden: (l + 2w) × (b + 2w) − l × b.
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- 1.A rectangular field is 27 m long and 19 m wide. What is its area (in sq m)?
- 2.A garden is 11 m long and 9 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 3.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 4.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its perimeter (in cm)?
- 5.A garden is 10 m long and 9 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 6.A garden is 39 m long and 8 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 7.The perimeter of a square is 44 cm. What is its area (in sq cm)?
- 8.The perimeter of a square is 12 cm. What is its area (in sq cm)?
- 9.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its perimeter (in cm)?
- 10.A rectangle has an area of 567 sq cm and a length of 27 cm. What is its perimeter (in cm)?
- 11.A park is 47 m long and 39 m wide. Fencing costs ₹9 per metre. What does it cost to fence the park all round (in ₹)?
- 12.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 13.A rectangle has an area of 750 sq cm and a length of 30 cm. What is its perimeter (in cm)?
- 14.A triangle has a base of 29 cm and a height of 16 cm. What is its area (in sq cm)?
- 15.A rectangular field is 37 m long and 4 m wide. What is its area (in sq m)?
- 16.A rectangle has an area of 182 sq cm and a length of 26 cm. What is its perimeter (in cm)?
- 17.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its perimeter (in cm)?
- 18.A triangle has a base of 15 cm and a height of 22 cm. What is its area (in sq cm)?
- 19.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 20.A rectangular field is 31 m long and 7 m wide. What is its area (in sq m)?
- 21.A park is 31 m long and 20 m wide. Fencing costs ₹25 per metre. What does it cost to fence the park all round (in ₹)?
- 22.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
- 23.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 24.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 25.A rectangular field is 36 m long and 31 m wide. What is its area (in sq m)?
- 26.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
- 27.A rectangular field is 34 m long and 13 m wide. What is its area (in sq m)?
- 28.A park is 18 m long and 12 m wide. Fencing costs ₹10 per metre. What does it cost to fence the park all round (in ₹)?
- 29.A rectangle has an area of 494 sq cm and a length of 26 cm. What is its perimeter (in cm)?
- 30.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its perimeter (in cm)?
- 31.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its perimeter (in cm)?
- 32.A garden is 36 m long and 34 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 33.A rectangular field is 30 m long and 28 m wide. What is its area (in sq m)?
- 34.The perimeter of a square is 48 cm. What is its area (in sq cm)?
- 35.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its perimeter (in cm)?
- 36.A triangle has a base of 16 cm and a height of 16 cm. What is its area (in sq cm)?
- 37.A triangle has a base of 8 cm and a height of 23 cm. What is its area (in sq cm)?
- 38.A garden is 27 m long and 23 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 39.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 40.A garden is 37 m long and 10 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
Answer key
- 513
- 156
- 132
- 30
- 150
- 204
- 121
- 9
- 44
- 96
- 1548
- 154
- 110
- 232
- 148
- 66
- 42
- 165
- 88
- 217
- 2550
- 264
- 1386
- 2464
- 1116
- 220
- 442
- 600
- 90
- 36
- 52
- 296
- 840
- 144
- 28
- 128
- 92
- 336
- 44
- 318
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